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5005469952 = 28337214779
BaseRepresentation
bin1001010100101100…
…10110100100000000
3110220211200012221000
410222112112210000
540222400014302
62144404332000
7235016535600
oct45226264400
913824605830
105005469952
11213950372a
12b783a4000
1361a025552
14356ac6c00
151e468731c
hex12a596900

5005469952 has 216 divisors, whose sum is σ = 17219882400. Its totient is φ = 1430037504.

The previous prime is 5005469947. The next prime is 5005469981. The reversal of 5005469952 is 2599645005.

It is a happy number.

5005469952 is a `hidden beast` number, since 50 + 0 + 546 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 5005469898 and 5005469907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331299 + ... + 346077.

Almost surely, 25005469952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609941200).

5005469952 is an abundant number, since it is smaller than the sum of its proper divisors (12214412448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5005469952 is a wasteful number, since it uses less digits than its factorization.

5005469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14818 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5005469952 is about 70749.3459475068. The cubic root of 5005469952 is about 1710.5992851798.

The spelling of 5005469952 in words is "five billion, five million, four hundred sixty-nine thousand, nine hundred fifty-two".